Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
322 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 65 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13092379 | C2 | semidirect |
| 3. C22⋊C8×D23 | C2 | semidirect |
| 4. #13092141 | C2 | semidirect |
| 5. #13092140 | C2 | semidirect |
| 6. #13092140 | C2 | semidirect |
| 7. C23×#323 | C2 | semidirect |
| 137. #323 | D23 | semidirect |
| 166. C23 | #1471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625055 | 2 |
| #13092379 | 2 |
| C22⋊C8×D23 | 2 |
| #13092141 | 2 |
| #13092140 | 2 |
| C23×#323 | 2 |
| #1471 | 23 |